Journal article
Stability analysis of stationary variational and hemivariational inequalities with applications
Nonlinear analysis: real world applications, Vol.50, pp.171-191
12/01/2019
DOI: 10.1016/j.nonrwa.2019.04.009
Abstract
In this paper, we provide a comprehensive stability analysis for stationary variational inequalities, hemivariational inequalities, and variational-hemivariational inequalities. With contact mechanics as application background, stability is analyzed for solutions with respect to combined or separate perturbations in constitutive relations, external forces, constraints, and non-smooth contact boundary conditions of the inequality problems. The stability result is first proved for a general variational-hemivariational inequality. Then, stability results are obtained for various variational inequalities and hemivariational inequalities as special cases. Finally, we illustrate applications of the theoretical results for the stability analysis of model problems in contact mechanics. (C) 2019 Elsevier Ltd. All rights reserved.
Details
- Title: Subtitle
- Stability analysis of stationary variational and hemivariational inequalities with applications
- Creators
- Weimin Han - University of IowaYi Li - John Jay College of Criminal Justice
- Resource Type
- Journal article
- Publication Details
- Nonlinear analysis: real world applications, Vol.50, pp.171-191
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- DOI
- 10.1016/j.nonrwa.2019.04.009
- ISSN
- 1468-1218
- eISSN
- 1878-5719
- Number of pages
- 21
- Grant note
- DOI: 10.13039/501100008982, name: NSF, award: DMS-1521684
- Language
- English
- Date published
- 12/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984240760402771
Metrics
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